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- Zeitler
- Aerocrian

Cardinality | 7 (heptatonic) |
---|---|

Pitch Class Set | {0,1,2,5,9,10,11} |

Forte Number | 7-3 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 3215 |

Hemitonia | 5 (multihemitonic) |

Cohemitonia | 4 (multicohemitonic) |

Imperfections | 4 |

Modes | 6 |

Prime? | no prime: 319 |

Deep Scale | no |

Interval Vector | 544431 |

Interval Spectrum | p^{3}m^{4}n^{4}s^{4}d^{5}t |

Distribution Spectra | <1> = {1,3,4} <2> = {2,4,5,7} <3> = {3,5,6,8} <4> = {4,6,7,9} <5> = {5,7,8,10} <6> = {8,9,11} |

Spectra Variation | 3.714 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | none |

Coherence | no |

Heliotonic | yes |

Modes are the rotational transformation of this scale. Scale 3623 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode: Scale 3859 | Aeolarian | ||||

3rd mode: Scale 3977 | Kythian | ||||

4th mode: Scale 1009 | Katyptian | ||||

5th mode: Scale 319 | Epodian | This is the prime mode | |||

6th mode: Scale 2207 | Mygian | ||||

7th mode: Scale 3151 | Pacrian |

The prime form of this scale is Scale 319

Scale 319 | Epodian |

The heptatonic modal family [3623, 3859, 3977, 1009, 319, 2207, 3151] (Forte: 7-3) is the complement of the pentatonic modal family [55, 1795, 2075, 2945, 3085] (Forte: 5-3)

The inverse of a scale is a reflection using the root as its axis. The inverse of 3623 is 3215

Scale 3215 | Katydian |

Only scales that are chiral will have an enantiomorph. Scale 3623 is chiral, and its enantiomorph is scale 3215

Scale 3215 | Katydian |

T_{0} | 3623 | T_{0}I | 3215 | |||||

T_{1} | 3151 | T_{1}I | 2335 | |||||

T_{2} | 2207 | T_{2}I | 575 | |||||

T_{3} | 319 | T_{3}I | 1150 | |||||

T_{4} | 638 | T_{4}I | 2300 | |||||

T_{5} | 1276 | T_{5}I | 505 | |||||

T_{6} | 2552 | T_{6}I | 1010 | |||||

T_{7} | 1009 | T_{7}I | 2020 | |||||

T_{8} | 2018 | T_{8}I | 4040 | |||||

T_{9} | 4036 | T_{9}I | 3985 | |||||

T_{10} | 3977 | T_{10}I | 3875 | |||||

T_{11} | 3859 | T_{11}I | 3655 |

These are other scales that are similar to this one, created by adding a tone, removing a tone, or moving one note up or down a semitone.

Scale 3621 | Gylimic | |||

Scale 3619 | Thanimic | |||

Scale 3627 | Kalian | |||

Scale 3631 | Gydyllic | |||

Scale 3639 | Paptyllic | |||

Scale 3591 | ||||

Scale 3607 | ||||

Scale 3655 | Mathian | |||

Scale 3687 | Zonyllic | |||

Scale 3751 | Aerathyllic | |||

Scale 3879 | Pathyllic | |||

Scale 3111 | ||||

Scale 3367 | Moptian | |||

Scale 2599 | Malimic | |||

Scale 1575 | Zycrimic |

This scale analysis was created by Ian Ring, Canadian Composer of works for Piano, and total music theory nerd. The software used to generate this analysis is an open source project at GitHub. Scale notation generated by VexFlow, and MIDI playback by MIDI.js. Bibliography